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N76 [4]
3 years ago
13

Write a numerical expression with exponents to describe the sum of 3x3x3x3 and 36

Mathematics
2 answers:
rusak2 [61]3 years ago
7 0

Answer:

3^{4} and 6^{2}

Step-by-step explanation:

The given expression are 3 \times 3 \times 3 \times 3 and 36.

To write the first one as exponents, we just set the number 3 as a base and the exponent as number 4, because the repeating number is 3 and the number of repetitions is 4.

3 \times 3 \times 3 \times 3=3^{4}

Now, to express the number 36 as exponent, we just need to find a number which power results in 36, and that number is 6, which multiplied twice by itself gives 36 as result.

36 = 6^{2}

grandymaker [24]3 years ago
4 0

Answer:

3^3 and 36^1

Step-by-step explanation:

3x3x3x3 is multiplying that 4 times so it is to the power of 4

36 is just once so it is to the power of one

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A police car is located 40 feet on a small straight road perpendicular to main highway. A red car is driving along a highway in
xeze [42]

Answer:

the red car is traveling at 102.44 ft/s along the road

Step-by-step explanation:

From the given information:

Let consider p be how far the car is up the road and  q be how far the police is off the road.

Also, suppose that r is the distance between the police and the car.

Then, we can have a right triangle in which  we can use the Pythagorean Theorem to calculate the r (distance between the cop and the car)

NOW,

p² + q² = r²

r² = 40² + 180²

r² = 1600 + 32400

r² = 34000

r = \sqrt{34000}

r = 184.39

If we consider q'  to be how fast the car is traveling down the road.

And, p' be how fast the police is traveling toward the road.

r' be how fast the distance between the police and the car is changing.

then , the derivative of our equation, p² + q² = r² with respect to time can now be:

2p(p') +2q(q') = 2r(r')

p(p') +q(q') = r(r')

By replacing our values; we have:

40(0) +180(y') = \sqrt{34000} \times 100    (given that the police is not moving p' =0)

180(y') = \sqrt{34000} \times 100

(y') = \dfrac{\sqrt{34000} \times 100}{180}

(y') = \dfrac{184.39 \times 100}{180}

\mathbf{(y') = 102.44 \ ft/s}

the red car is traveling at 102.44 ft/s along the road

4 0
4 years ago
What number is 120% of 70
kaheart [24]

70/x=100/120
(70/x)*x=(100/120)*x       - we multiply both sides of the equation by x
70=0.833333333333*x       - we divide both sides of the equation by (0.833333333333) to get x
70/0.833333333333=x
84=x
x=84

now we have:
<span>120% of 70=84</span>
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17. Solve for p in the equation 7p = –63.
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It’s A

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